What is the limit as x approaches 2 of 2/((x-2)^2) ?

The limit as x approaches 2 of 2/((x-2)^2) is infinity

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limit as x approaches 2 of 2/((x-2)^2)

x \to 2 lim (\frac{2}{( x - 2 ) ^{2}})

\infty

Solution steps

x \to 2 lim (\frac{2}{( x - 2 ) ^{2}})

x \to a - lim f (x) = x \to a + lim f (x) = L

then

x \to a lim f (x) = L

x \to 2 - lim (\frac{2}{( x - 2 ) ^{2}}) = \infty

x \to 2 + lim (\frac{2}{( x - 2 ) ^{2}}) = \infty

= \infty

\frac{\partial}{\partial y} (x^{5} + x^{2} y + x + 1)

\frac{\partial}{\partial α} (sin (α) cos (β))

\int \frac{1}{x ^{2} 9 - 4 x ^{2}} d x

\frac{d}{d y} (\frac{x}{x + y})

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What is the limit as x approaches 2 of 2/((x-2)^2) ?
The limit as x approaches 2 of 2/((x-2)^2) is infinity